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Author : Liang Pan
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (967 download)
Download or read book High-order Gas-kinetic Schemes for the Euler and Navier-stokes Equations written by Liang Pan and published by . This book was released on 2016 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Georg May
Publisher :
ISBN 13 :
Total Pages : 141 pages
Book Rating : 4.:/5 (846 download)
Download or read book A Kinetic Scheme for the Navier-stokes Equations and High-order Methods for Hyperbolic Conservation Laws written by Georg May and published by . This book was released on 2006 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kun Xu
Publisher : World Scientific
ISBN 13 : 9814623733
Total Pages : 335 pages
Book Rating : 4.8/5 (146 download)
Download or read book Direct Modeling For Computational Fluid Dynamics: Construction And Application Of Unified Gas-kinetic Schemes written by Kun Xu and published by World Scientific. This book was released on 2014-12-23 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes.
Author : Liming Yang
Publisher : World Scientific
ISBN 13 : 9811224706
Total Pages : 379 pages
Book Rating : 4.8/5 (112 download)
Download or read book Lattice Boltzmann And Gas Kinetic Flux Solvers: Theory And Applications written by Liming Yang and published by World Scientific. This book was released on 2020-07-13 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) has been widely applied in a wide variety of industrial applications, including aeronautics, astronautics, energy, chemical, pharmaceuticals, power and petroleum.This unique compendium documents the recent developments in CFD based on kinetic theories, introducing flux reconstruction strategies of kinetic methods for the simulation of complex incompressible and compressible flows, namely the lattice Boltzmann and the gas kinetic flux solvers (LBFS or GKFS). LBFS and GKFS combine advantages of both Navier-Stokes (N-S) solvers and kinetic solvers.Detailed derivations, evaluations and applications of LBFS and GKFS, and their advantages over conventional flux reconstruction strategies are analyzed and discussed in the volume.The must-have reference text is useful for scholars, researchers, professionals and students who are keen in CFD methods and numerical simulations.
Author : Saeed M. Dubas
Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.:/5 (438 download)
Download or read book High Order Schemes for the Navier Stokes Equations written by Saeed M. Dubas and published by . This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)
Download or read book A Gas-Kinetic Scheme for Reactive Flows written by and published by . This book was released on 1998 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Lomax
Publisher : Springer Science & Business Media
ISBN 13 : 3662046547
Total Pages : 256 pages
Book Rating : 4.6/5 (62 download)
Download or read book Fundamentals of Computational Fluid Dynamics written by H. Lomax and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.
Author : M.Yousuff Hussaini
Publisher : Springer Science & Business Media
ISBN 13 : 3642605435
Total Pages : 587 pages
Book Rating : 4.6/5 (426 download)
Download or read book Upwind and High-Resolution Schemes written by M.Yousuff Hussaini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
Author : Henning Struchtrup
Publisher : Springer Science & Business Media
ISBN 13 : 3540323864
Total Pages : 262 pages
Book Rating : 4.5/5 (43 download)
Download or read book Macroscopic Transport Equations for Rarefied Gas Flows written by Henning Struchtrup and published by Springer Science & Business Media. This book was released on 2006-06-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed description. This book discusses classical and modern methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equation, for small and moderate Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier level. The main methods discussed are the classical Chapman-Enskog and Grad approaches, as well as the new order of magnitude method, which avoids the short-comings of the classical methods, but retains their benefits. The relations between the various methods are carefully examined, and the resulting equations are compared and tested for a variety of standard problems. The book develops the topic starting from the basic description of an ideal gas, over the derivation of the Boltzmann equation, towards the various methods for deriving macroscopic transport equations, and the test problems which include stability of the equations, shock waves, and Couette flow.
Author : C. Cercignani
Publisher : Springer
ISBN 13 : 3709127629
Total Pages : 219 pages
Book Rating : 4.7/5 (91 download)
Download or read book Kinetic Theory and Gas Dynamics written by C. Cercignani and published by Springer. This book was released on 2014-05-04 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kun Xu
Publisher : Cambridge University Press
ISBN 13 : 1108890512
Total Pages : 106 pages
Book Rating : 4.1/5 (88 download)
Download or read book A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes written by Kun Xu and published by Cambridge University Press. This book was released on 2021-06-10 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes. The framework is based on the direct modelling of flow physics in a discretized space. The mesh size and time step are used as modelling scales in the construction of discretized governing equations. With the variation-of-cell Knudsen number, continuous modelling equations in different regimes have been obtained, and the Boltzmann and Navier-Stokes equations become two limiting equations in the kinetic and hydrodynamic scales. The unified algorithms include the discrete velocity method (DVM)–based unified gas-kinetic scheme (UGKS), the particlebased unified gas-kinetic particle method (UGKP), and the wave and particle–based unified gas-kinetic wave-particle method (UGKWP). The UGKWP is a multi-scale method with the particle for non-equilibrium transport and wave for equilibrium evolution. The particle dynamics in the rarefied regime and the hydrodynamic flow solver in the continuum regime have been unified according to the cell's Knudsen number.
Author : Farah Kanbar
Publisher : BoD – Books on Demand
ISBN 13 : 3958262104
Total Pages : 154 pages
Book Rating : 4.9/5 (582 download)
Download or read book Asymptotic and Stationary Preserving Schemes for Kinetic and Hyperbolic Partial Differential Equations written by Farah Kanbar and published by BoD – Books on Demand. This book was released on 2023-05-09 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we are interested in numerically preserving stationary solutions of balance laws. We start by developing finite volume well-balanced schemes for the system of Euler equations and the system of Magnetohydrodynamics (MHD) equations with gravitational source term. Since fluid models and kinetic models are related, this leads us to investigate Asymptotic Preserving (AP) schemes for kinetic equations and their ability to preserve stationary solutions. In an attempt to mimic our result for kinetic equations in the context of fluid models, for the isentropic Euler equations we developed an AP scheme in the limit of the Mach number going to zero. The properties of the schemes we developed and its criteria are validated numerically by various test cases from the literature.
Author : Andrei I Tolstykh
Publisher : World Scientific
ISBN 13 : 9814502359
Total Pages : 334 pages
Book Rating : 4.8/5 (145 download)
Download or read book High Accuracy Non-centered Compact Difference Schemes For Fluid Dynamics Applications written by Andrei I Tolstykh and published by World Scientific. This book was released on 1994-09-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Padé-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
Author : Amir Alexander
Publisher : Harvard University Press
ISBN 13 : 0674061748
Total Pages : 320 pages
Book Rating : 4.6/5 (74 download)
Download or read book Duel at Dawn written by Amir Alexander and published by Harvard University Press. This book was released on 2011-10-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fog of a Paris dawn in 1832, variste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.
Author : Marlies Pirner
Publisher : BoD – Books on Demand
ISBN 13 : 3958260802
Total Pages : 238 pages
Book Rating : 4.9/5 (582 download)
Download or read book Kinetic modelling of gas mixtures written by Marlies Pirner and published by BoD – Books on Demand. This book was released on 2018-07-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the kinetic modelling of gas mixtures. It extends the existing literature in mathematics for one species of gas to the case of gas mixtures. This is more realistic in applications. The presented model for gas mixtures is proven to be consistent meaning it satisfies the conservation laws, it admits an entropy and an equilibrium state. Furthermore, we can guarantee the existence, uniqueness and positivity of solutions. Moreover, the model is used for different applications, for example in plasma physics, for fluids with a small deviation from equilibrium and in the case of polyatomic gases.
Author : Maurice N. Kogan
Publisher : Springer
ISBN 13 : 1489963812
Total Pages : 524 pages
Book Rating : 4.4/5 (899 download)
Download or read book Rarefied Gas Dynamics written by Maurice N. Kogan and published by Springer. This book was released on 2013-11-11 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tao Tang
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (484 download)
Download or read book Gas-kinetic Schemes for the Compressible Euler Equations written by Tao Tang and published by . This book was released on 1999 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
